Answers
The error made can be corrected by: D. using the square root property of equality, square both sides of the equation and not just one variable.
What is the Square Root Property of Equality?To move the square of a number on one side of an equation, the square root property of equality is applied by squaring all the terms on each side of the equation.
The error in the steps shown was made when applying the square root property of equality because only "k' was squared instead of both "k" and "2".
Therefore, to correct the error: D. using the square root property of equality, square both sides of the equation and not just one variable.
Learn more about the square root property of equality on:
https://brainly.com/question/4238296
#SPJ1
Related Questions
If 22x = 23, what is the value of x?انا اترا0دیا انہoo 0یانه
Answers
To get the y-intercept of the function, let us attempt to write out the function in the slope-intercept form.
The slope-intercept form of a linear equation is given to be:
\(y=mx+b\)where m is the slope and b is the y-intercept.
To calculate the slope, let us make use of the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)We can pick any 2 ordered points from the table, such that:
\(\begin{gathered} (x_1,y_1)=(1,6) \\ (x_2,y_2)=(2,3) \end{gathered}\)Therefore, we can calculate the slope to be:
\(m=\frac{3-6}{2-1}=\frac{-3}{1}=-3\)Hence, the equation of the line will look like this:
\(y=-3x+b\)We can get the value of b by substituting the ordered pair (1, 6) into the equation:
\(\begin{gathered} 6=-3(1)+b \\ b=6+3 \\ b=9 \end{gathered}\)ANSWER
The equation of the line is gotten to be:
\(y=-3x+9\)Hence, the y-intercept is 9.
The correct option is OPTION B.
Multiply: 3,217 × 5,716
Answers
Answer:
Step-by-step explanation:
183,883,72
Answer:
18388372
Step-by-step explanation:
1 )Use the algorithm method.
3 2 1 7
× 5 7 1 6
1 1 1 4
1 9 3 0 2
3 2 1 7 0
2 1 1 4
2 2 5 1 9 0 0
1 1 3
1 6 0 8 5 0 0 0
1 1 1
1 8 3 8 8 3 7 2
==================step 2==================2 )Therefore, 3217 × 5716 = 18388372.
18388372
PLEASEEEE HELPPP FASTTT !!!!!!!!!!!A driveway is built on an incline so that it rises 1.8m and goes up a diagonal distance of 34m. What is the angle between the ground the diagonal space? Complete and label the diagram for full marks and state a therefore statement.
Answers
Here is the diagram of the driveway:
/|
/ | 1.8m
/ |
/ |
/θ |
/____| 34m
In the diagram, the horizontal line represents the ground, and the vertical line represents the rise of the driveway. The diagonal line represents the diagonal distance traveled along the driveway.
To find the angle θ between the ground and the diagonal space, we can use trigonometry. Specifically, we can use the sine function, as it relates the opposite side to the hypotenuse.
sin(θ) = opposite side / hypotenuse
In this case, the opposite side is the rise of the driveway (1.8m), and the hypotenuse is the diagonal distance (34m).
sin(θ) = 1.8m / 34m
To find the value of θ, we need to take the inverse sine (arcsine) of both sides:
θ = arcsin(1.8m / 34m)
Using a calculator, we can find the value of θ:
θ ≈ 3.10 degrees
Therefore, the angle between the ground and the diagonal space of the driveway is approximately 3.10 degrees.
Therefore, the statement would be: The angle between the ground and the diagonal space of the driveway is approximately 3.10 degrees.
Round 7.3564 to the nearest hundredth.
Answers
Answer:
7.36
Step-by-step explanation:
7.3564 would round to 7.36
Answer:
7.36
Step-by-step explanation:
To round off a decimal to the hundredths or a number to the right you do this, if the number to the right of the hundredths is 4 or less you remove all the other digits including the hundredths, if the number is 5 or more you add one to the digit in the hundredths.
The system of equations above is graphed below. Find the solution to the system.
Group of answer choices
(0,-6)
(-1,-5)
(1,-5)
(-5,1)
Answers
Solution:
The solution to the given system of equation is the intersection point created with the 2 lines. The solution must satisfy all equations. We can see the intersection. To identify the solution, plot the solution on the graph.
=> Solution of two lines: (x = 1, y = -5)=> Solution of two lines in (x,y) form: (1, -5)Option C is correct.
~Refer to image for plotted solution~
Mr. Anderson decides to visit a childhood friend. His car gives him 24.22 miles to the gallon. Mr. Anderson has 6 gallons of fuel. Which of the following is true?
A.
Mr. Anderson can travel 72.66 miles.
B.
Mr. Anderson can travel 109.32 miles.
C.
Mr. Anderson can travel 181.32 miles.
D.
Mr. Anderson can travel 145.32 miles.
Answers
Answer:
D, 145.32 miles
Step-by-step explanation:
distance (24.22) divided by the amount of fuel (6 gallons) will give unit rate.
The MSDS for sodium hydroxide gives it a health rating of 3, a flammability rating of 0, and a reactivity rating of 1. According to the MSDS, which best describes sodium hydroxide?
Answers
Answer: Highly corrosive but not highly flammable
Answer:
its A
Step-by-step explanation:
No links please! Which expression has the same value as
Look below
Answers
Answer:
-5 1/3 - 3 1/3
Step-by-step explanation
both expressions equal -8 2/3
How do you compare exponential functions?
Answers
Answer:
In exponentials, the base is any positive constant not = 1, and the power is the variable x (any real number), or a function of x. So as x increases, a^x is raised to higher and higher powers of a. To compare, say, 2^x and x^2; in x^2, as x increases to x+1, y increases to x^2+2x+1.
hope it helps :)
Hello! I’m struggling with this question just if someone could help me!
Answers
Answer:
Assuming the question is about the area of the "house" it's 70.
Step-by-step explanation:
The triangle's height is 18 - 10 = 8
The area of the rectangle is 5 * 10 = 50
The area of the triangle is 5 * 8 / 2 = 20
The total area is 50 + 20 = 70
Triangles ABE, ADE, and CBE are shown on the coordinate grid, and all the vertices have coordinates that are integers00С2E3402A-2Which statement is true?No two triangles are congruent.Only Triangles ABE and CBE are congruent.only triangles ABE and ADE are congruenttriangles ABE, ADE, and CBE are all congruent
Answers
AThe coordinates of the triangles are given below
\(\begin{gathered} A=(-4,-1) \\ B=(-1,3) \\ C=(4,3) \\ D=(-1,1) \\ E=(0,1) \end{gathered}\)Considering the two triangles ABE and CBE
\(\begin{gathered} AB=\sqrt[]{(-1-(-4)^2+(3-(-1)^2} \\ AB=\sqrt[]{3^2+4^2} \\ AB=\sqrt[]{9+16} \\ AB=\sqrt[]{25} \\ AB=5 \end{gathered}\)\(\begin{gathered} AE=\sqrt[]{(0-(-4)^2+(1-(-1)^2} \\ AE=\sqrt[]{4^2+2^2} \\ AE=\sqrt[]{16+4} \\ AE=\sqrt[]{20} \end{gathered}\)\(\begin{gathered} BE=\sqrt[]{(0-(-1)^2+(1-3)^2} \\ BE=\sqrt[]{1^2+(-2)^2} \\ BE=\sqrt[]{1+4} \\ BE=\sqrt[]{5} \end{gathered}\)\(\begin{gathered} CB=\sqrt[]{(4-(-1)^2+(3-3)^2} \\ CB=\sqrt[]{(4+1)^2}+0 \\ CB=5 \end{gathered}\)\(\begin{gathered} CE=\sqrt[]{(4-0)^2+}((3-1)^2 \\ CE=\sqrt[]{4^2+2^2} \\ CE=\sqrt[]{16+4} \\ CE=\sqrt[]{20} \end{gathered}\)\(\begin{gathered} BE=\sqrt[]{(-1-0)^2+(3-1)^2} \\ BE=\sqrt[]{(-1)^2+2^2} \\ BE=\sqrt[]{1+4} \\ BE=\sqrt[]{5} \end{gathered}\)Consider triangle ADE
\(\begin{gathered} AE=\sqrt[]{(0-(-4)^2+(1-(-1)^2} \\ AE=\sqrt[]{4^2+2^2} \\ AE=\sqrt[]{16+4} \\ AE=\sqrt[]{20} \end{gathered}\)\(\begin{gathered} AD=\sqrt[]{(-4-1)^2+(-1-(-1)^2} \\ AD=\sqrt[]{(-5)^2} \\ AD=\sqrt[]{25} \\ AD=5 \end{gathered}\)\(\begin{gathered} DE=\sqrt[]{(1-0)^2+(-1-1)^2} \\ DE=\sqrt[]{1^2+(-2)^2} \\ DE=\sqrt[]{1+4} \\ DE=\sqrt[]{5} \end{gathered}\)From the calculation above,
we can conclude that ABE, CBE and ADE are all CONGRUENT
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
Answers
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
For more such questions on tax,click on
https://brainly.com/question/28414951
#SPJ8
In an honors math class of 25 students, 15 are boys and 10 are girls. On the final exam, 6 boys and 3 girls received a grade of A. If a student is chosen at
random from this class, what is the probability of choosing a girl or a student who did not receive an A on the exam?
1
0.76
2
0.64
3
0.40
0.28
Submit Answer
Answers
Answer:
Step-by-step explanation:
b=boy
a= a on the exam
b=15
b∩a=6
b'∩a=3
b'∪a'=?
b'∪a'= b'+a'-b'∩a'
a= b∩a+b'∩a (law of total probability) = 9
a'= 25-9 = 16
b'= 25-15= 10
16+10-7=19
19/25= .76
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
Answers
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
If a regular polygon has 72 sides and an order of 72,what is the polygon’s rotational angle?
Answers
Answer:
The rotational angle of a regular polygon with 72 sides is 5º.
Step-by-step explanation:
The rotational angle (\(\theta\)), measured in sexagesimal degrees, of polygon of \(n\) sides is the angle of a complete revolution divided by the number of sides (\(n\)). That is:
\(\theta = \frac{360}{n}\) (1)
If we know that \(n = 72\), the rotational angle is:
\(\theta = \frac{360}{72}\)
\(\theta = 5^{\circ}\)
The rotational angle of a regular polygon with 72 sides is 5º.
The point P is on the unit circle. If the y-coordinate of P is −3/5 and PP is in quadrant IV , then X= ?
Answers
The value of X is 4/5 if point P is on the unit circle and if the coordinate of P is -3/5 and P is in iV quadrant.
We know that unit circle is the circle of radius 1 unit. We are given the y-coordinate of P, that is y = -3/5. Now if we draw a perpendicular line at x-axis, and we know the length of line joining the P and the origin is 1 unit (h = 1). We can construct a right triangle. Then by pythagorean theorem.
x² + y² = h²
x² = √(h² - y²)
x² = √(1² - (-3/5)²)
x² = √(1 - (9/25))
x² = √(16/25)
x = 4/5
Since X is in the IV quadrant, where x is positive and y is negative.
So x = +4/5
To know more about quadrant, here
https://brainly.com/question/29298581
#SPJ4
The area of this rhombus is 1 square millimeter. One of its diagonals is 1 millimeter.
Answers
Answer:
yo momma
Step-by-step explanation:
Chris plans to put a trim around his poster. Which of the following shows the correct amount of trim to cover the perimeter?
a) 4ft
b) 6ft
c) 8ft
d) 10ft
Answers
Answer:
c) 8 ft
Step-by-step explanation:
If the figure is a square, then all sides have the same length.
perimeter = 4 × length of one side
perimeter = 4 × 2 ft
perimeter = 8 ft
g(0)=-4x^2-3x+2
g(2)=-4^2-3x+2
Answers
The simplified value for the function at g(0) and g(2) are 2 and -20 respectively.
What is simplification?To simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given a function g(x) = -4x² - 3x + 2
to find the values of g(0)
and g(2)
for g(0)
substitute x = 0 in the equation,
g(x) = -4x² - 3x + 2
g(0) = -4(0)² - 3(0) + 2
g(0) = 2
for g(2), substitute x = 2 in the equation,
g(x) = -4x² - 3x + 2
g(2) = -4(2)² -3(2) + 2
g(2) = -4(4) - 6 + 2
g(2) = -16 - 6 +2
g(2) = -20
Hence the values for g(0) is 2 and for g(2) is -20.
Learn more about simplification;
https://brainly.com/question/2804192
#SPJ1
PLEASE HELPP
Classify the solid.
Your answer
Answers
Answer:
Pentagonal pyramid
Step-by-step explanation:
Hope this helps
What is the solution?
\(\lim_{x\to 0} \frac{x + 2}{ x -2}\)
Math please
Answers
Answer:
\( - 1\)
Step-by-step explanation:
\(\lim_{x\to 0} \frac{x + 2}{ x -2}\)
\( = \frac{0 + 2}{ 0 -2}\)
\( = \frac{2}{-2}\)
\( = - 1\)
Answer:
- 1
Ok? Understand?
........
Helppp ASAPP!!!! i need help and pls show work of how you did it and sovled it.
Answers
The complete table for the inequality will be:
w =3 is a solution.w = -10 is not a solution.w = -1 is not a solution.w = 10 is a solution.Which values of w are solutions of the inequality?Here we have the inequality:
9w + 1 ≥ 28
Now we can solve this for w, we will get:
9w + 1 ≥ 28
9w ≥ 28 - 1
9w ≥ 27
w ≥ 27/9
w ≥ 3
So any value equal or larger than 3 is a solution.
w =3 is a solution.
w = -10 is not a solution.
w = -1 is not a solution.
w = 10 is a solution.
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
Mr Lim gave $3600 to his wife and two children altogether. His wife received $500 more than his son. His son received twice as much as his daughter. How much did Mr Lim's wife receive?
Answers
Mr Lim's wife received the sum of $3600
Calculation of total sum received.The total amount given out by Mr Lim = $3600
The total amount received by his wife = 500 + X
(where X is the amount received by the son)
But X is = 2d
where d is the amount received by the daughter.
therefore to calculate for x and d to find the amount received by Mr Lim's wife.
3600= 500+X
X = 3600 - 500
X = 3100
But X = 2d
substitute for x
3100 = 2d
d =3100/2
d= 1550
Therefore the amount received by Mr Lim's wife is =
500 +. 3100
= $3600
Learn more about addition here:
https://brainly.com/question/874745
The amount of money Mr Liam's wife received is $2140
How much did Mr Lim's wife receive?
The total money received by the three people can be represented with this equation : x + y + z = $3600
Where:
x = amount Mr Lim's wife received = $500 + 2zy = amount the son received = 2zz = amount the daughter receivedThe above equation can be rewritten as
$500 + 2z + 2z + z = $3600
In order to determine the value of z, take the following steps:
Combine similar terms
2z + 2z + z = $3600 + $500
Add similar terms
5z = $4100
Divide both sides by 5
z = $820
Mrs Liam's wife received : ($820 x 2) + $500 = $2140
To learn more about division, please check: https://brainly.com/question/13281206
Enter the number that belongs in the green box 7 4 8
Answers
Answer:
61.03°
Step-by-step explanation:
You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.
Law of CosinesThe law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...
c² = a² +b² -2ab·cos(C)
ApplicationSolving for angle C, we have ...
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((a² +b² -c²)/(2ab))
In this triangle, that means ...
C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)
C ≈ 61.03°
The angle of interest is about 61.03°.
__
Additional comment
We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)
<95141404393>
What is the answer -13.62-(27.9)
Answers
Answer:
− 1049
Step-by-step explanation:
-13.62-(27.9)
primero haremos los paréntesis y después las demás multiplicaciones de izquierda a derecha.
-13.62-243
-806-243
Finalmente tenemos − 1049
Espero te ayude :)
Answer:
-41.52
Step-by-step explanation:
-13.62 - (27.9) = -13.62 - 27.9When you subtract from a negative, the answer will be smaller than the starting number:
-13.62 - 27.9 = -41.52Therefore, the answer is -41.52.
Please answer, will give 5 star.
Answers
Answer:
The first one
Step-by-step explanation:
She cant buy anything over $15, but she can buy something thats $15 :))
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answers
The three true statements are:
The standard form of the equation is (x – 1)² + y² = 3.
The center of the circle lies on the x-axis.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the center of the circle?
A circle is named by the point in the center. A radius is a line segment from the center of the circle to the edge. A diameter is a line segment that passes through the center of a circle.
The true statements are:
The standard form of the equation is (x – 1)² + y² = 3.
The center of the circle lies on the x-axis.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Given an equation of x2 + y2 – 2x – 8 = 0, we can make the following observations:
We can complete the square to get the equation in standard form. (x – 1)² + y² = 3². This is true statement.
The center of the circle is (1,0) which is on the x-axis, this statement is true.
The radius is 3 units, which is the same as the radius of the circle x² + y² = 9 (3²). This statement is true.
The center of the circle does not lie on the y-axis as its x-coordinate is not 0.
Hence, The three true statements are:
The standard form of the equation is (x – 1)² + y² = 3.
The center of the circle lies on the x-axis.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
To learn more about the center of the circle visit,
https://brainly.com/question/25938130
#SPJ1
A sculptor chisels away at the marble to make a pyramid with the same base dimensions but one-fourth the volume of the original prism. What is the height of the pyramid?
A. 2 cm
B. 4 cm
C. 6 cm
D. 96
Answers
Simplify 9³x9⁵=9[?]
Find the missing exponent
Answers
Answer:
\(\large\boxed{\mathtt{9^{8}}}\)
Step-by-step explanation:
\(\textsf{For this problem, we are asked to simplify the given expression.}\)
\(\textsf{Let's begin by understand an important rule for problems like these.}\)
\(\mathtt{9^{3} \times 9^{5} = 9^{?}}\)
\(\large\underline{\textsf{We should remember that;}}\)
\(\textsf{When exponents multiply, they \underline{add}.}\)
\(\large\underline{\textsf{Why?}}\)
\(\textsf{If not, then the answer will be incorrect. Let's identify why in an example.}\)
\(\large\underline{\textsf{Bad Example:}}\)
\(\mathtt{2^{2} \times 2^{5} = 2^{2 \times 5 =10}}\)
\(\textsf{This means that;}\)
\(\mathtt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \neq 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2.}\)
\(\large\underline{\textsf{Good Example:}}\)
\(\mathtt{2^{2} \times 2^{5} = 2^{2+5=7}}\)
\(\textsf{This means that;}\)
\(\mathtt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2.}\)
\(\textsf{Let's follow the good example!}\)
\({\mathtt{9^{3} \times 9^{5} = 9^{3 + 5=8}}\)
\(\textsf{This means that;}\)
\(\mathtt{9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 = 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9.}\)
\(\large\boxed{\mathtt{9^{8}}}\)
\(\huge\text{Hey there!}\)
\(\mathsf{9^3 \times 9^5}\\\mathsf{= 9\times 9 \times 9\ \boxed{\times}\ 9\times 9\times 9 \times 9 \times 9}\\\mathsf{= 81\times 9\ \boxed{\times}\ 81\times81\times9}\\\mathsf{= 729\ \boxed{\times}\ 6,561\times 9}\\\mathsf{= 729\ \boxed{\times}\ 59,049}\\\mathsf{= 43,046,721}\\\mathsf{= 9^3 \times 9^5 \rightarrow 9^{3 + 5}\rightarrow 9^8}\)
\(\huge\text{Therefore your answer should be:}\)
\(\huge\boxed{\mathsf{9^8}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)